Finding a curve C that satisfies the hypnothesis of Green's Theorem for the following function.

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So, i need to find a curve $\mathcal C$, with Green's Theorem, such as(this is a line integral, but i don't know how to insert with MathJax, sorry) $$\int \left(\frac{y^{3}}{12} - y\right)dx - \left(\frac{x^{3}}{27}\right)dy$$ is maximum. I know how to evaluate integrals using Green's Theorem, but I don't know where to start on this one.